Find the measure of an angle that is thrice
the measure of its complement.
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If we know that 2 angles are complements of each other, then they add up to 90 degrees. Knowing this, if we know that the complement of an angle X has an angle value that is 3 times greater, we can write that as such:
X + 3X = 90 => 4X = 90.
We solve for X to get: 22.5 degrees. This gives us the value for angle X.
To get the complement's angle, multiple X by 3: 22.5 degrees * 3 = 67.5 degrees.
Thus: the complement of the angle is 67.5 degrees.
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Answer:
a+b = 90
3x = 90
x = 30
30 + b = 90
b = 60
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